Curves | Algebraic curves | Singularity theory
In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends on the type of curve being studied. (Wikipedia).
C72 What to do about the singular point
Now that we can calculate a solution at analytical points, what can we do about singular points. It turns out, not all singular points are created equal. The regular and irregular singular point.
From playlist Differential Equations
Algebraic geometry 37: Singular points (replacement video))
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It defines singular points and tangents spaces, and shows that the set of nonsingular points of a variety is open and dense. This is a replacement for the original video,
From playlist Algebraic geometry I: Varieties
Differential Equations | Definition of a regular singular point.
We give the definition of a regular singular point of a differential equation as well as some examples of differential equations with regular singular points. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations
algebraic geometry 34 Blowing up a point
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers blowing up a point of affine space, and gives some examples of using this to resolve singularities of plane curves.
From playlist Algebraic geometry I: Varieties
Finding the Minimum Radius of Convergence about an Ordinary Point
In this video I do an example of Finding the Minimum Radius of Convergence about an Ordinary Point.
From playlist Differential Equations
Geometrical Interpertation of Differentiation
#CalculusMadeEasy Calculus Made Easy, Chapter 10 (download: bit.ly/EasyCalculus). Two points of a function. Why does one have a derivative and the other point does not?
From playlist Calculus Made Easy
From playlist l. Differential Calculus
Find the point where their exist a horizontal tangent line
👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the derivative of the function y, is zero is the point of hor
From playlist Find the Point Where the Tangent Line is Horizontal
Elliptic curves: point at infinity in the projective plane
This video depicts point addition and doubling on elliptic curve in simple Weierstrass form in the projective plane depicted using stereographic projection where the point at infinity can actually be seen. Explanation is in the accompanying article https://trustica.cz/2018/04/05/elliptic-
From playlist Elliptic Curves - Number Theory and Applications
Rachel Pries - The geometry of p-torsion stratifications of the moduli space of curve
The geometry of p-torsion stratifications of the moduli space of curve
From playlist 28ème Journées Arithmétiques 2013
Unexpected fillings, singularities, and plane curve arrangements - Laura Starkston
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Unexpected fillings, singularities, and plane curve arrangements Speaker: Laura Starkston Affiliation: University of California, Davis Date: May 07, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Singular plane curves and stable nonsqueezing phenomena - Kyler Siegel
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Singular plane curves and stable nonsqueezing phenomena Speaker: Kyler Siegel Affiliation: University of Southern California Date: April 15, 2022 The existence of rational plane curves of a given degree with
From playlist Mathematics
Laura Starkston: Unexpected symplectic fillings of links of rational surface singularities
HYBRID EVENT Recorded during the meeting "Milnor Fibrations, Degenerations and Deformations from Modern Perspectives" the September 09, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given
From playlist Virtual Conference
Complex surfaces 2: Minimal surfaces
This talk is part of a series about complex surfaces, and explains what minimal surfaces are. A minimial surfaces is one that cannot be obtained by blowing up a nonsingular surfaces at a point. We explain why every surface is birational to a minimal nonsingular projective surface. We disc
From playlist Algebraic geometry: extra topics
Dominique Cerveau - Holomorphic foliations of codimension one, elementary theory (Part 3)
In this introductory course I will present the basic notions, both local and global, using classical examples. I will explain statements in connection with the resolution of singularities with for instance the singular Frobenius Theorem or the Liouvilian integration. I will also present so
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Embeddedness of timelike maximal surfaces in (1+2) Minkowski Space by Edmund Adam Paxton
Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be co
From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)
This talk is about some properties of plane curves used in the Riemann-Roch theorem. We first show that every nonsingular curve is isomorphic to a resolution of a plane curve with no singularities worse than ordinary double points (nodes). We then calculate the genus of plane curves with o
From playlist Algebraic geometry: extra topics
Find the values where the function has horizontal tangents
👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the derivative of the function y, is zero is the point of hor
From playlist Find the Point Where the Tangent Line is Horizontal
Kenneth Ascher: What is a moduli space?
Abstract: Moduli spaces are geometric spaces which parametrize equivalence classes of algebraic varieties. I will discuss the moduli space of algebraic curves equivalently Riemann surfaces) of genus g, and use this example to motivate some interesting questions in higher dimensions. Biogr
From playlist What is...? Seminars